Tom & KatieTHE LAST SUPPER

7/5/2012 12:35 PM PDT

Tom Cruise & Katie Holmes -- The Last Supper

Tom Cruise and Katie Holmes barely looked each other in the eyes on what we're told was their final meal together as a couple.

The photo was snapped on June 16th in Reykjavik, Iceland, where Tom was shooting his new movie. Katie filed for divorce in New York less than two weeks later on June 28th.

TMZ broke the story ... Tom and Katie were sleeping apartin the weeks leading up to the divorce filing. And according to her divorce docs, Katie insists her marriage had been "irretrievably broken" for at least 6 months before that.

As we reported, Tom was "blindsided" by Katie's decision to divorce -- but as you can see in the pic ... the writing was on the wall.